What is the Least Common Multiple of 87750 and 87760?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 87750 and 87760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87750 and 87760, than apply into the LCM equation.

GCF(87750,87760) = 10
LCM(87750,87760) = ( 87750 × 87760) / 10
LCM(87750,87760) = 7700940000 / 10
LCM(87750,87760) = 770094000

Least Common Multiple (LCM) of 87750 and 87760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87750 and 87760. First we will calculate the prime factors of 87750 and 87760.

Prime Factorization of 87750

Prime Factorization of 87760

Now multiplying the highest exponent prime factors to calculate the LCM of 87750 and 87760.

LCM(87750,87760) = 2⁴ × 3³ × 5³ × 13¹ × 1097¹
LCM(87750,87760) = 770094000